A line makes an angle `theta` both with x-axis and y-axis. A possible range of `theta` isA. `[0,pi/4]`B. `[0,pi/2]`C. `[pi/4,pi/2]`D. `[pi/3,pi/6]`

A line makes an angle `theta` both with x-axis and y-axis. A possible

1.	A line makes an angle `theta` both with x-axis and y-axis. A possible range of `theta` isA. `[0,pi/4]`B. `[0,pi/2]`C. `[pi/4,pi/2]`D. `[pi/3,pi/6]`
Answer» Correct Answer - C We know that `cos^(2)alpha=cos^(2)beta+cos^(2)gamma=1` `Rightarrow cos^(2)theta=cos^(2)theta+cos^(2)gamma=1" "[therefore alpha=beta=theta]` `Rightarrow 2 cos^(2)theta+cos^(2)gamma=1` `Rightarrow cos^2gamma=1-2cos^(2)theta` `Rightarrow cos^2gamma=-cos^(2)theta` `Rightarrow cos 2theta le theta` `therefore theta in [pi/4,pi/2]`

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A line makes an angle `theta` both with x-axis and y-axis. A possible range of `theta` isA. `[0,pi/4]`B. `[0,pi/2]`C. `[pi/4,pi/2]`D. `[pi/3,pi/6]`

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